The ends of a stretched wire of length L are fixed at x = 0 and x = L. In one experiment, the displacement of the wire is ${\mathrm{y}}_1=\mathrm{Asin}(\mathrm{\pi x}/\mathrm{L})\mathrm{sin\omega t}$ and energy is E₁, and in another experiment its displacement is ${\mathrm{y}}_2=\mathrm{Asin}(2\mathrm{\pi x}/\mathrm{L})\sin 2\mathrm{\omega t}$ and energy is E₂. Then 

• A

  ${\mathrm{E}}_2={\mathrm{E}}_1$

• B

  ${\mathrm{E}}_2=2{\mathrm{E}}_1$

• C

  ${\mathrm{E}}_2=4{\mathrm{E}}_1$

• D

  ${\mathrm{E}}_2=16{\mathrm{E}}_1$